Question

A line that includes the point (6,7) has a slope of 2. What is it’s equation in slope- intercept form?

Answer 1

Answer:

$y = 2x - 5$

Step-by-step explanation:

Step 1:  Find the equation

$(y - y_1) = m(x - x_1)$

$(y - 7) = 2(x - 6)$

$y - 7 + 7 = 2x - 12 + 7$

$y = 2x - 5$

Answer:  $y = 2x - 5$

Answer 2

Since we know the slope and have one point, we can solve for the y-intercept.

y = mx + b

7 = 2(6) + b

7 = 12 + b

7 - 12 = 12 + b - 12

-5 = b

Now that we have all the information, we can put it into the final equation.

y = 2x - 5

Best of Luck!